A KAM Theorem for Higher Dimensional Reversible Nonlinear Schr\"{o}dinger Equations
Dynamical Systems
2019-03-19 v1
Abstract
In the paper, we prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible systems. Using this KAM theorem, we obtain the existence and linear stability of quasi-periodic solutions for a class of reversible (non-Hamiltonian) coupled nonlinear Schr\"{o}dinger systems on torus .
Cite
@article{arxiv.1903.06862,
title = {A KAM Theorem for Higher Dimensional Reversible Nonlinear Schr\"{o}dinger Equations},
author = {Yingnan Sun and Zhaowei Lou and Jiansheng Geng},
journal= {arXiv preprint arXiv:1903.06862},
year = {2019}
}
Comments
28 pages